Simplices in $t$-intersecting families for vector spaces

Haixiang zhang, Mengyu Cao, Mei Lu +1

Let $V$ be an $n$-dimensional vector space over the finite field ${\mathbb{F}}_q$ and $\left[\genfrac{}{}{0ex}{}{V}{k}\right]$ denote the family of all $k$-dimensional subspaces of $V$. A family $\mathcal{F}\s…